Problems of the equilibrium of a rigid body and mechanical systems

• Autorzy: Do S. , Do K. D.
• Języki publikacji: EN

Abstrakty

EN

In this article one of the greatest generalized methods for establishing the equilibrium equations of a rigid body and the set of rigid bodies is proposed. It is related to six equations of moments of force about six the edges of a reference tetragon. It is possible to obtain different alternatives by substituting the force moment-equation for the force project-equation. Four different forms of equilibrium are established. It is important writing equilibrium equations of bodies possible to apply the special software as Mathcad, Maple.

Słowa kluczowe

EN

equilibrium of a rigid body; equilibrium of mechanical system; matrix method; frame tetragon; tetragon frame of axis

PL

równowaga ciała sztywnego; równowaga systemu mechanicznego; matrix metoda; czworokąt

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2009
• Tom: Vol. 16, No. 2
• Strony: 81--100
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Do S.

autor

Do K. D.

• Department of Applied Mechanics, Hanoi University of Technology, Vietnam

Bibliografia

• [1] P. Appell. Traite de mecanique rationelle, vol. 1. Gauthier-Yillars, Paris, 1953.
• [2] D. Sanh. On the principle of compatibility and the eąuation of a constrained. Zeitschrift fur Angewandte Mathematik und Mechanik, 60(4): 210-212, 1980.
• [3] D. Sanh. On the motion of controlled mechanical system. Advances in Mechanics, 7(2): 3-24, 1984.
• [4] D. Sanh, D.D. Khoa. Applying principle of compatibility for determining reaction forces of constraints. Machine Dynamic Problems, 31: 72-81, 2007.
• [5] D. Sanh, D.V. Phong, D.D. Khoa, T. Duc.. Control of program motion of dynamic systems using relative motion. Technische Mechanik, 28(3-4): 211-218, 2008.
• [6] E.J. Haug. Computer Aid Kinematics and Dynamics of Mechanical Systems, vol. 1. Allyn & Bacori, New York, 1989.
• [7] J.L. Meriam, L.G. Kraige. Engineering Mechanics, Statics. Wiley, NewYork, 1996.
• [8] R.C. Hibbele. Engineering Mechanics, Combined Statics and Dynamics. Prentice Hall, Upper Saddle River, 1998.
• [9] F.B. Beer, E.R. Johnston. Vector Mechanics for Engineers, Statics and Dynamics. McGraw Hill, Boston, 1997.
• [10] P.E. Nikraves. Computer Aided Analysis of Mechanical Systems. Prentice Hall, NewYork, 1989.
• [11] A. Shabana. Dynamics of Multibody Systems. Wiley, New York, 1989.